Download Class VIII QAP Worksheet

Class VIII
QAP Worksheet
SUBJECT : MATHS
GENERAL INSTRUCTIONS:
• These QAP Worksheets will be discussed in July by the respective teachers in the
class.
• QAP worksheets to be done in LE Register.
TOPIC : ALGEBRA
1.
Which of the following is not a linear equation
(a) 2x + 5 = 1
2.
Solve:
(c) 5
(d) none of these
(b) –12
(c) 15
(d) none of these
(b) – 34
(c) 1
(d) none of these
(b) 27
(c) –9
(d) none of these
= 18
(a) 9
6.
(b) –2
- 7x = 9
Solve:
(a) 34
5.
(d) 5x + 3
Solve + = (a) 12
4.
(c) y + 1 = 0
Solve 2y + 9 = 4
(a) 2
3.
(b) x – 1 = 0
The present age of Sahil’s mother is three times the present age of Sahil. After 5 years their
ages will add to 66 years. Find the present ages of Sahil.
(a) 12
7.
8.
9.
17. Solve:
(c) 16
(d) 20
(c) 3
(d) none of these
(c) 3
(d) none of these
(c) 4
(d) none of these
=x-7
(b) –12
Find the solution
=
(a) 2
(b) –2
Find the solution of
+
(b) –8
=
The perimeter of a rectangle is 13 cm and its width is 2 cm. Find its length in cm.
(a) 3
11.
+
(a) 12
(a) 8
10.
(b) 14
(b) –3
(c) 2
(d) none of these
Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of
Rs 77, how many coins of each denomination does he have?
Page | 1
(a) 7, 21
12.
(b) 3, 9
(d) 5, 15
The sum of three consecutive multiples of 11 is 363. Find these multiples.
(a) 117, 121, 125
13.
(c) 6, 18
(b) 110, 121, 132
(c) 110, 99, 154
(d) 154, 88, 121
The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What
are the two numbers?
(a) 110, 44
14.
(b) 120, 54
(b) 50, 45
(b) 50, 32
(b) 110, 121, 132
(c) 110, 99, 154
(d) none of these
(b) 110, 121, 132
(c) 110, 99, 154
(d) none of these
( y2 -
y + 5) – ( y - y2 + 2) – ( y – 3 + 2y2)
ii.
3x2 + 2(x+2) – 3x(2x+1)
iii.
a2b(a-b2) + ab2(4ab – 2a2) – a3b(1-2b)
iv.
4st(s-t) – 6s2(t-t2) – 3t2(2s2 – s) + 2st(s-t)
v.
(9x-7)(2x-5) – (3x-8)(5x-3)
vi.
(3x2 + 5x – 7)(x-1) – (x2 – 2x +3)(x+4)
Solve the following equations and check your result in each case:
i.
13(y-4) – 3(y-9) – 5(y+4) = 0
ii.
+ =x-
iii.
(x-9) + = 3
iv.
(7x – 1) – (2x –
v.
vi.
vii.
22.
23.
24.
(d) none of these
Subtract (2a-3b+4c) from the sum of (a+3b-4c), (4a-b+9c) and (-2b+3c-a).
Subtract the sum of (8m-7n+6p2) and (-3m-4n-p2) from the sum of (2m+4n-3p2) and (-m-n-p2).
Simplify:
i.
21.
(c) 40, 22
The sum of three consecutive multiples of 8 is 888. Find the multiples.
(a) 120, 136, 400
18.
19.
20.
(d) none of these
Three consecutive integers add up to 51. What are these integers?
(a) 117, 121, 125
17.
(c) 40, 25
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
(a) 45, 27
16.
(d) none of these
Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
(a) 55, 35
15.
(c) 140, 74
-(
)=x+
- )=
0.5x – (0.8x – 0.2x) = 0.2 – 0.3x
=3
A number is as much greater than 21 as it is less than 71. Find the number.
Find three consecutive positive even integers whose sum is 90.
Divide 184 into two parts such that one-third of one part may exceed one-seventh of the other
part by 8.
Page | 2
25.
26.
27.
28.
29.
30.
Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter
of the triangle is 55 metres, find the length of its sides.
Sumitra has Rs.34 in fifty-paisa and twenty-five paisa coins. If the number of 25-paisa coins is
twice the number of 50-paisa coins, how many coins of each kind does she have?
Hari Babu left one third of his property to his son, one-fourth to his daughter and the
remainder to his wife. If his wife’s share is Rs. 18000, what was the worth of his total
property?
The age of Sonal and Manoj are in the ratio 7:5. Ten years hence, the ratio of their ages will be
9:7. Find their present ages.
Five years ago a man was seven times as old as his son. Five years hence, the father will be
three times as old as his son. Find their present ages.
The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator
and denominator, it becomes . Find the fraction.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
A number has two digits whose sum is 8. If 18 is added to the number, its digits are reversed.
Find the number.
The degree of the polynomial 2x3 y – 3x2 y4 + 5 x2 y3 -7xy is :
(a) 6
(b) 4
(c) 5
(d) 2
Expression that should be added to −3 + 2 to get −4 + 5 is
(a) −2 + 8
(b) 6 + 2
(c) −6 + 8
(d) −2 + 2
2
2
If m= 5 and n = − 2, then the value of m - 2mn+n is :
(a) 39
(b) 74
(c) 49
(d) 94
The algebraic language of ‘ Twice cube of a number x subtract from five times the sum of y
and 2 ’ is
(b) 2x3- 5y -2
(c) 5 (y + 2) – 2x3
(d) 5(y+2) – (2x)3
(a) 5y + 2 – 2x3
The value of (- 1)1075 is:
(a) 1
(b) 0
(c) − 1
(d) none of these.
The perimeter of square of side x meter is
(a) 3x
(b) x3
(c) x4
(d) 4x
2
2
2
The number of terms in the expression 2ab + b c – b a + b( ac + bc ) – 1 is :
(a) 1
(b) 2
(c) 3
(d) 4
The base of an isosceles triangle is y units and the two equal sides is x units, then the perimeter
of the triangle is :
(a) 2y + x
(b) 2(x+y)
(c) 2x + y
(d) x2y
(a+ b)2 =
(a) a2+ b2
(b) a2 – b2
(c) a2 + 2ab + b2
(d) a2 – 2ab + b2
If
+
= 6 then the value of
+
"
is:
(a) 36
(b) 12
(c) 34
The Symbol which takes various numerical values is called
(a) Monomial
(b) constant
(c) term
The different terms of algebraic expression 4 y - 5y2 + 3 are
(a) 4,-5,3
(b) 4 y,- 5y2,3
(c) 4 y,5y2 ,3
(d) 43
(d) variable
(d)
y,y
Page | 3
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
An algebraic expression containing three terms are called
(a) Binomial
(b) Trinomial
(c) Monomial
(d) Quadrinomial
2 3
The Coefficient of ‘m’ in the term – 6m n is
(a) -6n3
(b) -6
(c) -6mn3
(d) mn3
The degree of the polynomial 8p3q - 6p2q+5 is
(a) 3
(b) 4
(c) 1
(d) 2
2
The factors of the term -6 y are
(a) −6 × × × $
(b) −2 × 3 × × × $ × $
(d) −2 ×3
(c) × × $ × $
On subtracting−% + 2& from o we get
(c) −2% + 4&
(d) % − 2&
(a) 0
(b) −% + 2&
Which of the following pairs represent like terms ?
(a) -6p2q2,-6p2
(b) 10pq2,pq2
(c) 4p2q2,-8pq2
(d) none of the
2
th
For the algebraic expression 2n -1 , the 20 term will be
(a) 800
(b) 39
(c) 799
(d) 400
The degree of a constant term is:
-1
(b) 0
(c) 1
(d) none of these
Solve for b, −3 − ' = −9
(a) b = 6
(b) b = 5
)
Solve for m , * − =
)
(a) m= 36
(b) m = 63
Solve for x,
Solve for x :
(c) m = 37
(d) m = 73
+ ,x=?
=
(b)
(c)
(d) None of these
(c) 2
(d) None of these
If 3x – 2 = 1, then x – 2 =
(a)
61.
=
(d) None of these
(a) 12
(b) 11
(c) 10
(d) 15
The no. 16 is divided into two parts one of them being three times the other than two parts are :
(a) 4,12
(b) 6,10
(c) 13,3
(d) 15,1
The length of a rectangle is 4 cm more than its breadth. If the perimeter of the rectangle is 40
cm then l and b are:
(a) 8,10
(b) 8,12
(c) 12,6
(d) 6,12
How many days are there in x weeks and x days:
(a) 7
(b) 7
(c) 8x
(d) 14x
The sum of twice a number and 5, exceeds the number by 10. The equation is:
(a) 2 + 5 + 10 =
(b) 2 + 5 = 10
(c) 2 + 5 + = 10
(d) 2 + 5 − = 10
(a)
60.
−
−2
(c) b = −6
(b)
The marks secured by Ravi is 70 but he has secured by 6 marks less than doublethe marks
secured by his friend Anil. The equation is :
Page | 4
(a) 2x – 6 = 70
(c) x + 2 – 6 = 70
62.
63.
64.
65.
66.
67.
− 17 =
If
(b) 2x – 70 = 6
(d) None of these
− 34, find x
(a) 15
(b) 51
(c) 16
(d) 61
If the sum of three constitutive integers is 30. The least of them is :
(a) 6
(b) 9
(c) 10
(d) 12
What is the area of square which has the perimeter 40 cm?
(a) 100 sq. cm
(b) 200 sq. cm
(c) 50 Sq. cm
(d) 1600 sq. cm
0
0
The measure of the angles of a triangle are (x + 20 ) ,(2x – 30) and (3x- 50)0, then the angles
are
(a) 400,500,600
(b) 500,600,700
(c) 600,700,800
(d) none of these
One number is 4 less than 3 times another.If their sum is increased by 5,the result is 25.The
numbers are:
(a) 6 , 16
(b) 6 ,14
(c) 16 , 4
(d) 8,9
A boy had 2x rupees he spent 85 paise. How many rupees were left with him?
(a) ` (2x- 85)
68.
69.
(b) ` (85- 2x)
(c) ` (2x-
*
(d) ` /
)
..
72.
73.
74.
76.
(b) 9
(c) 12
(d)
The length of a rectangle is 6 m less than three times its breadth.The dimensions of the
rectangle, if its perimeter is 148 m, are
(a) 54m,20 m
(b) 14m, 40 m
(c) 54m ,24m
(d) 54m, 14 m
4
2 2
5
2x – 4x y + 5y is a …………….. of degree ………………..
a. Binomial; 4
b. Trinomial; 2
c. Trinomial; 5
d. Monomial; 5
2
Which of the following is not equal to -6t – t ?
a. –(6t2 + t)
b. (t2 + 8t) – ( 7t2 + 9t)
c. (3t2 – 5t) – ( -5t2 – 4t)
d. 2t2 – 3t + 1) – (8t2 – 2t + 1)
The degree of
a. 11
75.
*
If z + = 1 , find 3z.
(a) 3
71.
0
One –fourth of a number plus 3 gives 4.The number is
(a) 1
(b) 4
(c) 12
(d) 16
If you could divide Ram’s age (x) by 8 and take away 2 more years,you get 5.Which equation
will represent the situation?
(a) 8x – 2=5
(b) 8x + 2=5
(c) + 2 = 5
(d) − 2 = 5
*
70.
*
..
$ ×( -5x7y2) is
b. 16
Simplify : xy2 (-2x) (3xy) (-4x2y) - /*0
c. 5
(-24xy) /− 0
d. 6
(15y3)
c. -12x5y4
a. 1
b. x10y8
Which of the following expressions is equal to 10x2y (0.2xy – 0.7y)
a. 20x3 y2 – 7x2 y2
b. 2x3 y2 – 10x2 y2
c. 2x3 y2 – 0.7x2 y2
d. 2x3 y2 -7x2y2
d. -12x10y8
Page | 5
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
88.
42a2 - 8a ( a – 1 ) -7a ( 1 + 5a ) + a (a – 1) equals
a. 15a2
b. -16a
c. 0
d. 15a2 – 16 a
Which of the following products is equal to x2 – 5x – 6 ?
a. (x + 1) (x – 6)
b. (x – 2) (x – 3)
c. (x + 2) (x – 5)
2
2
( x- y) (x + xy + y )equals
a. X3 -2x2y + 2xy2 –y3
c. x3 + y3
d. x3 + 2x2y -2xy2 + y3
b. x3 - y3
In the product (2 – x) (5 -3x) (1 – 7x), the coefficient of x2 is
a. 24
b. 21
c. 80
d. -81
4
3
2
What should be subtracted from 8x + 14x – 2x + 7x – 8 so that the resulting polynomial is
exactly divisible by 4x2 +3x – 2.
a. -14x +10
b. 13x -9
c. 14x -10
d. -10
2
2
(t -3) - (t + 3) equals
a. 2t2 + 18
b. -12t
c. 12t
d. 18
Find the product (6p -7q) (6p -7q).
a. 36p2 - 42pq + 49q2
c. 36p2 - 84pq + 49q2
b. 36p2 - 42pq - 49q2
d. 36p2 + 42pq + 49q2
The value of the expression 49x2 – 84xy + 36y2 , when x=2 and y= 3 is
a. 1600
b. 160
c. 16
d. 1.6
If x2+
"
= 27, find the value of x -
a. 5
b. 29
If x –y = 9 and xy = 16, find the value of x2 + y2
a. 113
b. 49
2
4
( 1+ x) (1 + x ) (1 + x ) (1 + x8) ( 1 – x)
a. 1 + x16
b. 1 – x16
.
3× .
3
.
3
.
.
× .
89.
90.
2
b. 6
2
d. 57
c. 65
d. 97
c. x16 – 1
d. x8 + 1
c. 3.2
d. 4.6
=?
a. 6.3
2
c. √29
2
x - x - x + x is equal to :
a. -5x2
b. 4x2
c. -6x2
d. -3x2
A boy attempts x + y sums, of which only y – 2z are correct. The number of wrong sums is :
a. – x + 2z
b. -2y – 2z
c. x + 2z
d. 2y + 2z
Page | 6
DATA HANDLING
A.
Following bar graph shows marks obtained by a student in 2005–06 and 2006–07 subject wise.
Read and answer the questions from Q1 – Q10
1. In which subject has the performance improved the most?
(a) Maths
(b) Science
(c) S. Science
(d) none of these
2. In which subject has the performance deteriorated?
(a) English
(b) Science
(c) S. Science
(d) none of these
(c) S. Science
(d) none of these
3. In which subject is the performance at par?
(a) Hindi
(b) Science
4. Find the marks obtained in Maths by a student in 2005–06 ?
(a) 30
(b) 40
(c) 50
(d) 60
5. Find the marks obtained in Maths by a student in 2006–07 ?
(a) 30
(b) 40
(c) 50
(d) 60
6. Find the marks obtained in Hindi by a student in 2005–06 ?
(a) 30
(b) 40
(c) 50
(d) 60
7. Find the marks obtained in Hindi by a student in 2006–07 ?
(a) 30
(b) 40
(c) 50
(d) 60
8. Find the marks obtained in S. Science by a student in 2005–06 ?
(a) 30
(b) 40
(c) 50
(d) 60
9. Find the total marks obtained by a student in 2005–06?
(a) 230
(b) 235
(c) 240
(d) none of these
Page | 7
10. Find the total marks obtained by a student in 2006–07?
(a) 230
B.
(b) 270
(c) 240
(d) none of these
Frequency Distribution of Daily Income of 550 workers of a factory is given below. Study the
following frequency distribution table and answer the questions from Q1 – Q10.
1. What is the size of class intervals?
(a) 24
(b) 25
(c) 26
(d) 15
(c) 175-200
(d) 150-175
(c) 175-200
(d) 150-175
(c) 25
(d) 525
(c) II & V
(d) V & VI
(c) 225
(d) 525
(c) 25
(d) 525
2. Which class has the highest frequency?
(a) 200-225
(b) 300-325
3. Which class has the lowest frequency?
(a) 100-125
(b) 300-325
4. What is the upper limit of the class interval 250-275?
(a) 250
(b) 275
5. Which two classes have the same frequency?
(a) III & IV
(b) I & II
6. What is the range of the all class interval?
(a) 250
(b) 275
7. What is the lower limit of the class interval 250-275?
(a) 250
(b) 275
Page | 8
8. What is the total number of workers having daily income less than 250?
(a) 300
(b) 445
(c) 305
(d) 550
9. What is the total number of workers having daily income more than 200?
(a) 300
(b) 445
(c) 305
(d) 550
10. What is the total number of workers having daily income between 150–250?
(a) 300
C.
(b) 445
(c) 375
(d) 550
The number of hours for which students of particular class watched television during holidays
is shown through the graph given below. See and answer the questions from Q1 – Q5.
1. For how many hours did the maximum number of students watch TV?
(a) 4-5 hrs
(b) 6-7 hrs
(c) 3-4 hrs
(d) 2-3hrs
2. How many students watched TV for less than 4 hrs?
(a) 12
(b) 34
(c) 4
(d) 8
3. How many students spent more than 5 hrs in TV watching?
(a) 14
(b) 0
(c) 6
(d) 8
4. For how many hours did the minimum number of students watch TV?
(a) 2-3 hrs
(b) 6-7 hrs
(c) 1-2 hrs
(d) 3-4hrs
5. How many students spent less than 5 hrs in TV watching?
(a) 34
D.
(b) 32
(c) 8
(d) 66
Adjoining pie-chart gives the expenditure (in %age) on various items and savings of a family
during a month. Study the given pie-chart and answer the questions from Q6 – Q15.
Page | 9
6. On which item the expenditure was maximum?
(a) food
(b) education
(c) others
(d) transport
(c) others
(d) transport
7. On which item the expenditure was minimum?
(a) food
(b) education
8. Expenditure on which item is equal to total savings of the family ?
(a) food
(b) education
(c) others
(d) transport
9. Expenditure on which item is equal to total savings of the House Rent?
(a) food
(b) education
(c) clothes
(d) transport
(c) 25000
(d) 40000
(c) 2500
(d) 1000
If the monthly savings of the family is Rs 3000,
10. What is the monthly income of the family?
(a) 30000
(b) 20000
11. What is the monthly expenditure on cloths ?
(a) 3000
(b) 2000
12. What is the monthly expenditure on education for children ?
(a) 3000
(b) 2000
(c) 2500
(d) 1000
13. What is the monthly expenditure on education for others?
(a) 3000
(b) 2000
(c) 2500
(d) 4000
14. What is the monthly expenditure on education for Transport?
(a) 3000
(b) 2000
(c) 2500
(d) 1000
15. What is the monthly expenditure on education for Food?
(a) 3000
(b) 5000
(c) 2500
(d) 4000
Page | 10
E.
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly.
One card is drawn at random from the box. Answer the following questions (Q1-Q10)
1. What is the probability of getting a number 5?
(a) 1
(b) 0
(c)
(d)
(c)
(d)
2. What is the probability of getting a number less than 11?
(a) 1
(b) 0
3. What is the probability of getting a number greater than 25?
(a) 1
(b) 0
(c)
(d)
4. What is the probability of getting a multiple of 5?
(a) 1
(b) 0
1
(c) 25
1
(d) 5
5. What is the probability of getting an even number?
(a) 1
(b) 0
12
(c) 25
13
(d) 25
6. What is the probability of getting an odd number?
(a) 1
(b) 0
(c)
12
25
(d)
13
25
7. What is the probability of getting a prime number?
8
(a) 25
9
(b) 25
12
(c) 25
13
(d) 25
8. What is the probability of getting a number divisible by 3?
8
(a) 25
(b)
9
25
(c)
12
25
(d)
13
25
9. What is the probability of getting a number divisible by 4?
8
(a) 25
9
(b) 25
6
(c) 25
13
(d) 25
10. What is the probability of getting a number divisible by 7?
8
(a) 25
9
(b) 25
6
(c) 25
13
(d) 25
Page | 11
TOPIC : MENSURATION
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
The cost of fencing a square field at 80 paisa per metre is Rs 1600. Find the cost of
reaping the field at 60 paisa per 100 sq metres.
The area of a square ABCD is 36cm2. Find the area of the square so obtained by joining
the mid points of the sides of the square ABCD.
A room is 7 m long and 5 m broad. It has one door measuring 2 m by 1.5 m and two
windows, each measuring 1.5 m by 1 m. The cost of painting the walls of the room at
Rs 7.50 per m2 is Rs 495. Find the height of the room.
The area of a rectangular field is 3584 m2 and its length is 64 metres. A boy runs around
the field at the rate of 8 km/h. How long will it take to go 5 times around it?
Find the length of the largest pole that can be placed in a hall 10 m long, 10 m wide and
5 m high.
The area of four walls of a room is 120 m2. If the length of the room is twice its breadth
and the height is 4 m, find the area of the floor.
A rectangular lawn is 60 m by 40 m and has two roads, each 5 m wide running in the
middle of it, one parallel to its length and the other parallel to its breadth. Find the cost
of gravelling the roads at Rs 3.80 per square metre.
The length and breadth of a park are in the ratio 2:1 and its perimeter is 240 m. a path 2
m wide runs inside it, along its boundary. Find the cost of paving the path at Rs 3 per
m2.
The base of a triangular field is three times its altitude. If the cost of cultivating the field
at Rs 280 per hectare is Rs 3780, find its base and altitude.
The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. Find its area.
Find the length of the altitude of an equilateral triangle of side 24 cm.
A diagonal of a quadrilateral is 26 cm and the perpendiculars drawn to it from the
opposite vertices are 12.8 cm and 11.2 cm. Find the area of the quadrilateral.
If the area of a rhombus is 96 cm2 and one of its diagonals is 16 cm, find its perimeter.
The circumference of a circle exceeds its diameter by 18 cm. Find the radius of the
circle.
The diameter of a wheel of a car is 70 cm. How many revolutions will it make to travel
99 km?
A well of diameter 140 cm has a stone parapet around it. If the length of the outer edge
of the parapet is 616 cm, find the width of the parapet.
A horse is tied to a pole in a park with a string 21 m long. Find the area over which the
horse can graze.
The circumferences of two circles are in the ratio 3:4. Find the ratio of their areas.
A steel wire when bent in the form of a square encloses an area of 121 cm2. The same
wire is bent in the form of a circle. Find the area of the circle.
Find the ratio of the area of a square and that of a square drawn on its diagonal.
Page | 12
TOPIC : RATIO AND PROPORTION
Tick (√) the correct answer:
1.
2.
A ratio equivalent to 3 : 7 is:
(i) 3 : 9
(ii) 6 : 10
(iii) 9 : 21
(iv) 18 : 49
The ratio 35 : 84 in simplest form is:
(i) 5 : 7
(ii) 7 : 12
(iii) 5 : 12
(iv) none of these
3.
In a class there are 20 boys and 15 girls. The ratio of boys to girls is:
(i) 4 : 3
(ii) 3 : 4
(iii) 4 : 5
(iv) none of these
4.
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger
number is:
(i) 49
(ii) 72
(iii) 63
(iv) 42
5.
The ratio of 1.5 m to 10 cm is:
(i) 1 : 15
(ii) 15 : 10
(iii) 10 : 15
(iv) 15 : 1
The ratio of 1 hour to 300 seconds is:
(i) 1 : 12
(ii) 12 : 1
(iii) 1 : 5
(iv) 5 : 1
In 4 : 7 : : 16 : 28, 7 and 16 are called
(i) extreme terms
(iii) b middle and c extreme term
(ii) middle terms
(iv) none of these
6.
7.
8.
The first, second and fourth terms of a proportion are 16, 24 and 54 respectively. Then
the third term is:
(i) 36
(ii) 28
(iii) 48
(iv) 32
9.
If 12, 21, 72, 126 are in proportion, then:
(i) 12 × 21 = 72 × 126
(ii) 12 × 72 = 21 × 126
(iii) 12 × 126 = 21 × 72
(iv) none of these
10.
If x, y and z are in proportion, then:
(i) x : y : : z : x
(ii) x : y : : y : z
(iii) x : y : : z : y
(iv) x : z : : y : z
7 : 12 is equivalent to:
(i) 28 : 40
(ii) 42 : 71
(iii) 72 : 42
(iv) 42 : 72
11.
Page | 13
12.
The length and breadth of a rectangle are in the ratio 3 : 1. If the breadth is 7 cm, then
the length of the rectangle is:
(i) 14 cm
(ii) 16 cm
(iii) 18 cm
(iv) 21 cm
13.
The value of m, if 3, 18, m, 42 are in proportion is:
(i) 6
(ii) 54
(iii) 7
(iv) none of these
14.
Length and width of a field are in the ratio 5 : 3. If the width of the field is 42 m then its
length is:
(i) 100 m
(ii) 80 m
(iii) 50 m
(iv) 70 m
15.
Jennifer gets a salary of 12000 while David gets Rs8400 more per month. What is the
ratio of the salaries of Jennifer and David?
16.
Donald is 16 years old, and his neighbour Betty is 24 years old. What will the ratio of
their ages be in 10 years?
17.
Your school has 270 teachers and 8085 students. What is the ratio of teachers to
students in your school?
18.
Choose correct answer(s) from given choice
(1) If the weight of 12 boxes of sweets is 39.6 kg then the weight of 35 boxes in
kilograms is:
a. 75.9
b. 155.1
c. 56.1
d. 115.5
(2) Carol runs around the park 3 times and covers a distance of 5.85 km. The next day
she runs a 7.8 more km than she had the previous day. How many rounds of the park did
she take on the second day?
a. 10
b. 7
c. 4
d.5
(3) If 13 pieces of thread can be tied together to form a thread that is 72.15 meters long,
then how many pieces are needed to make a thread that is 183.15 meters long?
a. 20
b. 14
c. 46
d. 33
(4) Given the proportion 27:45::45:75, the mean proportion is:
a. 52
b. 27
c. 45
d. 75
19.
50% of 20% of 1200 = ?
20.
What percentage of following letters cannot be drawn using straight lines ? H M N T X
ZBCOPS
Page | 14
21.
If 200 students filled form for entrance test and 180 appeared in test out of which only
70% have passed test then number of students who failed test are
a.68
b.54
c.58
d.65AAnswer B
22.
In a shoe factory, 2 2/5% shoes made are defective. If company made 10,000 shoes then
number of defective pieces are
a.280
b.265
c.250
d.240Answer D
23.
Number if increased by 35% becomes 200. Original number was
a.168
b.135
c.148
d.152
24.
If price of rice in 2014 is Rs20/kg which was 30% more than what it was in 2010 then
price of rice per kg in 2010 was
a.Rs16.38
b.Rs14.38
c.Rs15.38
d.Rs17Answer C
25.
130% of 60m is
a.78m
26.
b.80m
c.85m
Number if increased by 35% becomes 200. Original number was
a.168
b.135
c.148
d.89mAnswer A
d.152Answer C
Page | 15
TOPIC : GEOMETRY
1.
2.
3.
4.
5.
6.
How many lines can pass through two given points?
(i)1
(ii) 2
(iii) 3
(iv) Infinite
How many vertices are there in a hexagon?
(i) 5
(ii) 6
(iii) 7
(iv) 8
How many diagonals are there in a pentagon?
(i) 2
(ii) 3
(iii) 4
(iv) 5
What is the length of the diameter of a circle of radius 8 cm ?
(i) 4cm
(ii) 8cm
(iii) 16cm
(iv) 2cm
An angle divides the plane in to how many regions ?
(i) 2
(ii) 3
(iii) 4
(iv) 5
If two angles are said to be supplementary angles and one of angle is of 122 ° then other
angle is of
a.35°
b.58°
c.60°
d.32°Answer B
7.
Angle which is less than 360° and larger than 180° is classified as
a. acute angle
b. obtuse angle
c. right angle
d. reflex angleAnswer D
8.
Angle which is equal to 90° is classified as
a. acute angle
b. obtuse angle
c. right angle
d. reflex angleAnswer C
9.
If line segment is extended in two directions indefinitely from each of two points then it
is classified as
a. intersecting line b. plane
c. line
d. rayAnswer C
10.
Flat surface in which two points are joined by using straight line is classified as
a. line
b.ray
c. intersecting line d. plane
11.
Any line segment can be formed by joining
a. two points
b. three points
c. four points
d. more than three pointsnswer A
12.
Out of following options, two angles that are together classified as complementary
angles are
a.120° and 60°
b.50° and 30°
c.65° and 25°
d.70° and 30°Answer C
Page | 16
13.
When two rays meet each other at a certain point then the
a. line segment is formed
b. line is formed
c. angle is formed
d. all of above
14.
Path described by any moving point is classified as
a. ordinate ray
b. rays
c. line segment
d. lineAnswer D
On a line, sum of adjacent angles is equal to
a. 90°
b.180°
c.140°
d.120°Answer B
15.
16.
Angles that have common vertex and a common side on a line are classified as
a.vertically opposite angles
b. supplementary angles
c. adjacent angles
d. complementary angles
17.
Two hexagons of same shape and different sizes are
a. Congruent
b. Non-identical
c. Non-congruent
d. None of aboveswer C
How many altitudes can a triangle have ?
(i) one
(ii) two
(iii) three
(iv)four
18.
19.
The exterior angle of a triangle is 120°& one of its interior opposite angles is 70° .Find
the measure of its other interior opposite angle ?
(i) 90°
(ii) 50°
(iii) 60°
(iv) 100°
20.
The angles of a triangle are in the ratio 2:3:5 . What is the largest angle of the triangle?
(i) 54°
(ii) 36°
(iii) 90°
(iv) 100°
21.
∆ ABC is right-angled at C. If AC = 5cm & BC = 12 cm , what is the length of AB ?
(i) 7cm
(ii) 17 cm
(iii) 13cm
(iv) 20cm
22.
Which of the following alphabets has a line of symmetry?
i) Q
ii) W
iii) R
iv) Z
The number of lines of symmetry in a circle are
i) 3
ii) 2
iii) 4
iv) infinite
Which of the following figures has 4 lines of symmetry?
i) quadrilateral
ii) square
iii) rectangle
iv) circle
23.
24.
Page | 17
25.
26.
27.
The number of lines of symmetry in a rectangle is
i) 2
ii) 4
iii) 6
iv) 4
The order of rotational symmetry in the letter N is
i) 1
ii) 2
iii) 3
iv) no order
The number of lines of symmetry in a regular pentagon is
i) 3
ii) 4
iii) 6
iv) 5
28.
Which of the following triangles does not have any line of symmetry?
i) isosceles
ii) scalene
iii) equilateral
iv) right angled isosceles
29.
Which of the following alphabets has vertical line of symmetry?
i) B
ii) K
iii) V
iv) R
Which of the following has horizontal line of symmetry?
i) 3
ii) A
iii) 7
iv) M
30.
31.
32.
33.
34.
35.
36.
37.
Which of the following figure has no line of symmetry?
i) square
ii) circle
iii) parallelogram
iv) rectangle
Which of the following figure has four lines of symmetry?
i) Rectangle
ii) Rhombus
iii) Trapezium
iv) Square
An isosceles triangle has
i) one line of symmetry
iii) no lines of symmetry
ii) 2 lines of symmetry
iv) none of these
An equilateral triangle has
i) 3 lines of symmetry
iii) one line of symmetry
ii) 2 lines of symmetry
iv) none of these
The order of rotational symmetry of a square is
i) 1
ii) 2
iii) 3
iv) 4
The order of rotational symmetry of letter S is
i) one
ii) two
iii) three
iv) none of these
A triangle formed by the sides 3cm, 4cm and 6cm is
a) isosceles
b) scalene
c) equilateral
d) none of these
Page | 18
38.
A line segment joining the vertex to the midpoint of opposite side is called
a) altitude
b) median
c) perpendicular
d) none of these
39.
If a, b, c are the sides of a triangle, then
a) a + b≥c
b) a - b≤ c
c) a + b =c
d) none of these
A triangle formed by the sides 5.5cm, 6.2cm and 5.5cm is
a) isosceles
b) scalene
c) equilateral
d) none of these
40.
41.
42.
43.
44.
45.
A triangle always has
a) exactly 1 acute angle
c) atleast 2 acute angles
b) exactly 2 acute angles
d) atmost 2 acute angles
In ∆ABC, the side opposite of ∠C is
a) AB
b) BC
c) CA
d) none of these
Number of edges in a cube is
i) 10
ii) 12
iii) 8
iv) none of these
Number of vertex of a cuboid is
i) 6
ii) 8
iii) 10
iv) 12
Number of curved surfaces in a cone is
i) 2
ii) 3
iii) 1
iv) 4
46.
The number of faces in a pyramid , whose base is a triangle is
i) 4
ii) 5
iii) 3
iv ) none of these
47.
Which of the following is a plane figure?
i) sphere
ii) cylinder
iii) tetrahedron
iv) rectangle
Number of edges in a cylinder is
i) 4
ii) 2
iv) 3
48.
iii) 1
49.
What cross – section do you get when you give a vertical cut to a brick?
i) rectangle
ii) square
iii) triangle
iv) none of these
50.
Sphere is a
i) plane figure
ii) solid figure
iii) both (i) and (ii) iv) none of these
Page | 19